Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

356×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.5b	(* (* y 9.0) z)
6.7b	(* (* (* y 9.0) z) t)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

35.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* a 27.0) b)
17.0ms	(* (* y 9.0) z)
55.0ms	(* (* (* y 9.0) z) t)

series217.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
21.0ms	(* (* a 27.0) b)
20.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	391	503
1	2058	422
2	5002	418

prune250.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
5.7b	(* (* y 9.0) (* z t))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-+l+` `fma-def` `log1p-expm1-u`
2×	`associate-l` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

3 → 65

Calls

3 calls:

36.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
17.0ms	(* (* a 27.0) b)
29.0ms	(* (* y 9.0) (* z t))

series198.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
21.0ms	(* (* a 27.0) b)
27.0ms	(* (* y 9.0) (* z t))

simplify64.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	360	434
1	1757	362
2	5001	361

prune206.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
0.2b	(* 9.0 (* z t))
0.2b	(* (* a 27.0) b)
5.4b	(* y (* 9.0 (* z t)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

35.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
16.0ms	(* 9.0 (* z t))
19.0ms	(* (* a 27.0) b)
40.0ms	(* y (* 9.0 (* z t)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
18.0ms	(* 9.0 (* z t))
20.0ms	(* (* a 27.0) b)
29.0ms	(* y (* 9.0 (* z t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	382	501
1	1830	421
2	5002	421

prune274.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
0.2b	(* (* 9.0 z) t)
0.2b	(* (* a 27.0) b)
5.4b	(* y (* (* 9.0 z) t))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

36.0ms	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
17.0ms	(* (* 9.0 z) t)
18.0ms	(* (* a 27.0) b)
47.0ms	(* y (* (* 9.0 z) t))

series217.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
18.0ms	(* (* 9.0 z) t)
20.0ms	(* (* a 27.0) b)
27.0ms	(* y (* (* 9.0 z) t))

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	393	503
1	2046	423
2	5002	420

prune245.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes640.0ms

Accuracy

79.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	21
1	52	21

end0.0ms

sample946.0ms

Algorithm

intervals

Results

421.0ms

11096×

body

valid